Abstract

In this paper, some problems consisting of nonsmooth composite multiobjective programs have been treated with V-ρ-invexity type of conditions. In particular, we prove the generalized Karush–Kuhn–Tucker sufficient optimality theorem and duality theorems for nonsmooth composite multiobjective programs. Also, weak vector saddle point theorems are obtained for the composite programs under V-ρ-invexity conditions. The results obtained generalize the results of Hun Kuk et al. to some extent.

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